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Finding the Fourth Proportional to 144,609.20, 216,946.20 and 55,854.80

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Solution

The fourth proportional to 144,609.20, 216,946.20 and 55,854.80 is: 83,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,609.20 : 216,946.20 = 55,854.80 : x
  2. Step 2: Convert to fraction form
    144,609.20/216,946.20 = 55,854.80/x
  3. Step 3: Cross multiply
    144,609.20x = 216,946.20 × 55,854.80
  4. Step 4: Simplify right side
    144,609.20x = 12,117,486,611.76
  5. Step 5: Solve for x
    x = 12,117,486,611.76/144,609.20
  6. Step 6: Final answer
    x = 83,794.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.